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Finding the Fourth Proportional to 6,514.20, 9,765.80 and 5,278.54

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Solution

The fourth proportional to 6,514.20, 9,765.80 and 5,278.54 is: 7,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.20 : 9,765.80 = 5,278.54 : x
  2. Step 2: Convert to fraction form
    6,514.20/9,765.80 = 5,278.54/x
  3. Step 3: Cross multiply
    6,514.20x = 9,765.80 × 5,278.54
  4. Step 4: Simplify right side
    6,514.20x = 51,549,165.93
  5. Step 5: Solve for x
    x = 51,549,165.93/6,514.20
  6. Step 6: Final answer
    x = 7,913.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.